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Finding the Fourth Proportional to 229,642.56, 344,396.88 and 89,367.84

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Solution

The fourth proportional to 229,642.56, 344,396.88 and 89,367.84 is: 134,025.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,642.56 : 344,396.88 = 89,367.84 : x
  2. Step 2: Convert to fraction form
    229,642.56/344,396.88 = 89,367.84/x
  3. Step 3: Cross multiply
    229,642.56x = 344,396.88 × 89,367.84
  4. Step 4: Simplify right side
    229,642.56x = 30,778,005,268.34
  5. Step 5: Solve for x
    x = 30,778,005,268.34/229,642.56
  6. Step 6: Final answer
    x = 134,025.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.